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Finding the Third Proportional to 332,424 and 684,450

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Solution

The third proportional to 332,424 and 684,450 is: 1,409,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,424 : 684,450 = 684,450 : x
  2. Step 2: Convert to fraction form
    332,424/684,450 = 684,450/x
  3. Step 3: Cross multiply
    332,424x = 684,450 × 684,450
  4. Step 4: Simplify right side
    332,424x = 468,471,802,500
  5. Step 5: Solve for x
    x = 468,471,802,500/332,424
  6. Step 6: Final answer
    x = 1,409,259.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.